405242413425342 has 48 divisors (see below), whose sum is σ = 924239886610560. Its totient is φ = 127970900292816.

The previous prime is 405242413425341. The next prime is 405242413425379. The reversal of 405242413425342 is 243524314242504.

405242413425342 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 42 + 41 + 34 + 2 + 534 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405242413425341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123971373 + ... + 127198215.

It is an arithmetic number, because the mean of its divisors is an integer number (19254997637720).

Almost surely, 2^{405242413425342} is an apocalyptic number.

405242413425342 is an abundant number, since it is smaller than the sum of its proper divisors (518997473185218).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

405242413425342 is a wasteful number, since it uses less digits than its factorization.

405242413425342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594077 (or 3594074 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 45.

Adding to 405242413425342 its reverse (243524314242504), we get a palindrome (648766727667846).

The spelling of 405242413425342 in words is "four hundred five trillion, two hundred forty-two billion, four hundred thirteen million, four hundred twenty-five thousand, three hundred forty-two".